The function f(x)=x2 − 1 is reflected over the y-axis. Choose the equation that correctly identifies g(x).(1 point)

Question

Responses

g(x)=x2 − 2 g(x)=x2 − 2

g(x)=x2 +1g(x)=x2 +1

g(x)=−x2 + 1 g(x)=−x2 + 1

g(x)=x2 − 1

Answer 1

To reflect the function \( f(x) = x^2 - 1 \) over the y-axis, we replace \( x \) with \( -x \).

Thus,

\[ g(x) = f(-x) = (-x)^2 - 1 = x^2 - 1 \]

So, the correct equation that identifies \( g(x) \) is:

\[ g(x) = x^2 - 1 \]

The correct response is:

g(x) = x² - 1